Q: What are the factor combinations of the number 42,244,555?

 A:
Positive:   1 x 422445555 x 844891141 x 1030355205 x 206071251 x 168305821 x 514551255 x 336614105 x 10291
Negative: -1 x -42244555-5 x -8448911-41 x -1030355-205 x -206071-251 x -168305-821 x -51455-1255 x -33661-4105 x -10291


How do I find the factor combinations of the number 42,244,555?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 42,244,555, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 42,244,555
-1 -42,244,555

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 42,244,555.

Example:
1 x 42,244,555 = 42,244,555
and
-1 x -42,244,555 = 42,244,555
Notice both answers equal 42,244,555

With that explanation out of the way, let's continue. Next, we take the number 42,244,555 and divide it by 2:

42,244,555 ÷ 2 = 21,122,277.5

If the quotient is a whole number, then 2 and 21,122,277.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 42,244,555
-1 -42,244,555

Now, we try dividing 42,244,555 by 3:

42,244,555 ÷ 3 = 14,081,518.3333

If the quotient is a whole number, then 3 and 14,081,518.3333 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 42,244,555
-1 -42,244,555

Let's try dividing by 4:

42,244,555 ÷ 4 = 10,561,138.75

If the quotient is a whole number, then 4 and 10,561,138.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 42,244,555
-1 42,244,555
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

15412052518211,2554,10510,29133,66151,455168,305206,0711,030,3558,448,91142,244,555
-1-5-41-205-251-821-1,255-4,105-10,291-33,661-51,455-168,305-206,071-1,030,355-8,448,911-42,244,555

More Examples

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